Question

Simplify the rational expression. State any restrictions on the variable.
t^2-4t-32/t-8

a. -t - 4; t = 8
b. -t + 4; t = -8
c. t + 4; t = 8

Answer 1

Hint: \(t^2-4t-32 = (t-8)(t+4)\)

Answer 2

b?

Answer 3

No, it's c.

After simplifying, you should get t+4.

Answer 4

factor the numerator
t^2-4t-32=t^2-8t+4t-32
=t(t-8)+4(t-8)
=(t+4)(t-8)

Answer 5

now put the value instead of numerator